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Finding the Third Proportional to 107,018 and 158,986

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Solution

The third proportional to 107,018 and 158,986 is: 236,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,018 : 158,986 = 158,986 : x
  2. Step 2: Convert to fraction form
    107,018/158,986 = 158,986/x
  3. Step 3: Cross multiply
    107,018x = 158,986 × 158,986
  4. Step 4: Simplify right side
    107,018x = 25,276,548,196
  5. Step 5: Solve for x
    x = 25,276,548,196/107,018
  6. Step 6: Final answer
    x = 236,189.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.